Linear vs Non-Linear

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What is a linear function?

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A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its graph can be a curve, a circle, or any other shape that is not a straight line.

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CCSS.8.F.A.3

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How can you identify a linear function from its graph?

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A linear function can be identified by its straight line graph, which has a constant slope.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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How can you identify a nonlinear function from its graph?

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A nonlinear function can be identified by its curved graph, which does not have a constant slope.

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CCSS.8.F.A.3

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What is the slope of a linear function?

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The slope of a linear function is the rate of change of y with respect to x, represented by 'm' in the equation y = mx + b.

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CCSS.8.EE.B.5

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What does the y-intercept represent in a linear function?

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The y-intercept is the point where the graph of the function crosses the y-axis, represented by 'b' in the equation y = mx + b.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Can a linear function have a slope of zero?

Back

Yes, a linear function can have a slope of zero, which means it is a horizontal line.

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CCSS.8.EE.B.5

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Can a nonlinear function have a constant rate of change?

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No, a nonlinear function does not have a constant rate of change; its slope varies at different points.

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CCSS.HSF-LE.A.1B

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What is an example of a linear function?

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An example of a linear function is f(x) = 2x + 3.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is an example of a nonlinear function?

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An example of a nonlinear function is f(x) = x^2.

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